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3 years ago

What is the value of the discriminant for the quadratic equation 2x2− x + 8 = 0?

Mathematics

1 answer:

Alja [10]3 years ago

7 0

2x² - x + 8 = 0
Discriminant = b² - 4ac
a=2, b=-1, c=8

D = (-1)² - 4 * 2 * 8 = 1 - 64 = -63

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Answer:

Then, the object will take 29.11 min to travel $4\frac{9}{10}miles$

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When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:

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In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easily:

$speed=10\frac{1}{10} \frac{mi}{h} =\frac{(10*10)+1}{10} \frac{mi}{h}=\frac{101}{10} \frac{mi}{h}$

$distance=4\frac{9}{10}mi=\frac{(4*10)+9}{10}mi=\frac{49}{10}mi$

So, now we can calculate the time using the equation 1:

$time=\frac{distance}{speed}=\frac{\frac{49}{10}mi }{\frac{101}{10} \frac{mi}{h} } =\frac{49*10}{101*10} h$

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And, if we want the result in minutes:

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